3 papers
math-ph2024
Strong radiation condition bounds
K. Ito, E. Skibsted
We construct solutions to the eikonal equation for a class of long-range potentials, derive strong radiation condition bounds for the corresponding Schrödinger operator and apply…
math-ph2024
Scattering theory for long-range potentials
K. Ito, E. Skibsted
We develop a complete stationary scattering theory for Schrödinger operators on , , with long-range potentials. This extends former results in the liter…
math-ph2024
Green functions and completeness; the -body problem revisited
Erik Skibsted
Within the class of Derezi{Å}ski-Enss pair-potentials which includes Coulomb potentials a stationary scattering theory for -body systems was recently developed \cite {Sk1}. In…